On the Mathematical Theory of Superfluidity
Mathematical Physics
2009-11-13 v1 Statistical Mechanics
math.MP
Abstract
We provide a general operator algebraic formulation of superfluidity in Bose systems, with the aim of investigating the relationships of this phenomenon both to off-diagonal long range order (ODLRO) and to a mathematically precise version of Landau's picture of elementary excitations. Our principal results are that ODLRO leads both to rotational superfluidity and to Goldstone excitations, while the neo-Landau picture accounts for the translational superfluidity of flow along a pipe. The latter picture is realised by the Lieb-Liniger-Girardeau model. Open problems are briefly discussed.
Cite
@article{arxiv.0810.4874,
title = {On the Mathematical Theory of Superfluidity},
author = {Geoffrey L. Sewell and Walter F. Wreszinski},
journal= {arXiv preprint arXiv:0810.4874},
year = {2009}
}
Comments
To be published in J. Phys. A